Please help. It would be very much appreciated(ignore the boxes I have checked)
1 answer:
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Actually the formula is
(x-a)^2 + (y-b)^2 = r^2
so the center of this circle is (a,b) = (1, -3)
and radius of this circle is 7.
(x-a)^2 + (y-b)^2 = r^2
so the center of this circle is (a,b) = (1, -3)
and radius of this circle is 7.
Answer:
case 1) Circle open parentheses x plus 2 close parentheses squared plus open parentheses y minus 6 close parentheses squared equals 4 translated 2 units right and 6 units down
Step-by-step explanation:
<u>Verify the 4 Options</u>
case 1) Circle open parentheses x plus 2 close parentheses squared plus open parentheses y minus 6 close parentheses squared equals 4 translated 2 units right and 6 units down
The equation of the circle is
The center of the circle is the point
The rule of the translation is
Applying the rule to the center
Therefore
The translation results in a circle whose center is at the origin
case 2) Circle open parentheses x minus 1 close parentheses squared plus open parentheses y plus 2 close parentheses squared equals 4 translated 1 unit left and 2 units down
The equation of the circle is
The center of the circle is the point
The rule of the translation is
Applying the rule to the center
Therefore
The translation results in a circle whose center is not at the origin
case 3) Circle open parentheses x minus 2 close parentheses squared plus open parentheses y plus 3 close parentheses squared equals 4 translated 2 units right and 3 units up
The equation of the circle is
The center of the circle is the point
The rule of the translation is
Applying the rule to the center
Therefore
The translation results in a circle whose center is not at the origin
case 4) Circle open parentheses x minus 3 close parentheses squared plus open parentheses y minus 5 close parentheses squared equals 4 translated 3 units left and 5 units up
The equation of the circle is
The center of the circle is the point
The rule of the translation is
Applying the rule to the center
Therefore
The translation results in a circle whose center is not at the origin